BiographyDr. Poom Kumam received the B.S. degree in mathematics from Burapha University (BUU), and the M.Sc. degree in mathematics from Chiang Mai University (CMU), in 2002, under the supervision of Professor Dr. Sompong Dhompongsa, and his Ph.D. degree (Mathematics) from the Naresuan University in 2007, under the supervision of Professor Dr. Somyot Plubtieng. In 2008, he received a grant from Franco – Thai Cooperation for short term research at Laboratoire de Mathematiques, Universite de Bretagne Occidentale, France. In 2012, he took the same role, a Visiting Professor, at the University of Alberta, AB, Canada.
Furthermore, Dr. Poom Kumam had an opportunity to take a role as Visiting Professors in 2011 at Kyungnum University (KU) and Gyeongsang National University (GNU), Republic of Korea. In 2012, he took the same role, a Visiting Professor, at the University of Alberta, Canada for short research two months with Professor Anthony To-Ming Lau. Moreover, he also Visiting many university in Japan, Visiting Professor at the University of Newcastle, Australia (in 2013), University of Jean, Spain (2014, 2015) and University of Avigon, France (2016-2017). Also, short visit at Universität Wien, Vienna, Austria (2017) and China Medical University Taichung, Taiwan for joint visiting professor programs in 2016-2017. Also he joint trainning program of Newton Fund Professional Development Programme for Mid-Career Researchers By British Council UK-Thailand & Thailand Research Fund (TRF), March 2015 in UK.
He won two of the most important awards for mathematicians. The first one is the TRF-CHE-Scopus Young Researcher Award in 2010 from three organizations: TRF, CHE, and Elsevier Publisher (Scopus). The second award was in 2012 when he received the TWAS Prize for Young Scientist in Thailand, which is given by the Academy of Sciences for the Developing World TWAS (UNESCO) together with the National Research Council of Thailand. In 2014, the third award is the Fellowship Award For Outstanding Contribution to Mathematics from International Academy of Physical Science, Allahabad, India. In 2015 Dr. Poom Kumam has been awarded Thailand Frontier Author Award 2015, Award for outstanding researcher who has published works and has often been used as a reference or evaluation criteria of the database Web of Science. Moreover, In 2016 Dr. Poom Kumam has been awarded 2016 Thailand Frontier Researcher Awards on Innovation Forum: Discovery, Protection, Commercialization By Intellectual Property & Science, and Thomson Reuters. Also, in this year Professor Dr. Poom Kumam was selected to be in 2017 KMUTT Hall of Fame Award on August 29, 2017 at 10th Anniversary Honorary Award 2016 In Honour of the Recipients of Academic Awards.
Professor Poom Kumam is the Associate Editor-in-Chief of the Thai Journal of Mathematics since 2015, Assistance Editors for The Journal of Nonlinear Analysis and Optimization: Theory & Applications, Editor for The Journal of Nonlinear Science and Applications (SCIE), The journal BULLETIN of the Malaysian Mathematical Sciences Society (SCIE) and The editorial board of Fixed Point Theory and Applications (July 2012-April 2015) (SCIE), Creative Mathematics and Informatics, Springerplus (SCIE) and Guest Editors of Abstract and Applied Analysis. Editorial Board of the journal Fixed Point Theory in 2016 (SCIE), Fixed Point Theory - An International Journal on Fixed Point Theory, Computation and Applications. Now, Professor Poom Kumam is invited to the Editor-in-Chief of Results in Fixed Point Theory and Applications the new journal in 2018.
Currently, Professor Poom Kumam is the head of the KMUTTFixed Point Research Laboratory of KMUTT Fixed Point Theory and Applications Research Group and head of the Theoretical and Computational Science Center (TaCS-Center) at KMUTT.
He is also the Director of director of Computational and Applied Science for Smart Innovation Cluster (CLASSIC Research Cluster), KMUTT.
Areas of Research / Professional Expertise
• Fixed Point Algorithms for Optimization
• Nonlinear Functional Analysis and Convex Analysis
• Variational inequalities, and equilibrium analysis in economics
• Geometric Properties of Banach Spaces
• Nonlinear Iteration Methods
• Metric Fixed Point Theory and Applications
• Iterative algorithm of Fixed Points
• Best approximation and fixed point theorems
Research Highlights: KMUTT Fixed Point Theory and Applications Research Group
Even though our laboratory is named ‘KMUTT Fixed Point Theory and Applications Research Group’, this is not the only topic we study and expertised. At present, we also do extensive research in the areas of Nonsmooth optimization, Numerical analysis, Game theory and Convex analysis. We also include applications of such topics involving Optimal control, Dynamical systems, Differential and integral systems, and Digital imaging technology.
As we usually did, we have published our research articles in several reputed international journals and still in experiments to wide range of future research perspectives.
Our research philosophy now is to explore more with high-performance computer, both to discover hidden facts and behaviors to help the development of new results, and to apply and simulate our obtained results in complicate scenarios. To illustrate our focus in this computer-driven researches, we pick some interesting results to highlight our method to study.
Areas of interest Inverse problems, Traffic network equilibria, bandwidth allocation problem, wireless sensor network, image restoration, signal and image processing, game Theory
Published: Dec 01, 2017 by Stochastics
Authors: Plen Saiparaa, Poom Kumama, Yeol Je Cho
In this paper, we prove some random fixed point theorems for Hardy– Rogers self-random operators in separable Banach spaces and, as some applications, we show the existence of a solution for random nonlinear integral equations in Banach spaces. Some stochastic versions of deterministic fixed point theorems for Hardy–Rogers self mappings and stochastic integral equations are obtained.
Published: Dec 01, 2017 by Journal of Computational and Applied Mathematics
Authors: Jitsupa Deepho, Phatiphat Thounthong, Poom Kumam, Supak Phiangsungnoen
In this paper, we modify the general iterative method to approximate a common element of the set of solutions of split variational inclusion problem and the set of common fixed points of a finite family of k-strictly pseudo-contractive nonself mappings. Finally, some examples to study the rate of convergence and some illustrative numerical examples are presented
Published: Aug 26, 2017 by Numerical Algorithms
Authors: Nuttapol Pakkaranang · Poom Kumam · Yeol Je Cho
In this paper,we introduce the modified proximal point algorithm for common fixed points of asymptotically quasi-nonexpansive mappings in CAT(0) spaces and also prove some convergence theorems of the proposed algorithm to a common fixed point of asymptotically quasi-nonexpansive mappings and a minimizer of a convex function. Moreover, we then give numerical examples to illustrate and show efficiency of the proposed algorithm for supporting our main results.
Published: Jul 11, 2017 by Optimization
Authors: Parin Chaipunya and Poom Kumam
Proximal point method is one of the most influential procedure in solving nonlinear variational problems. It has recently been introduced in Hadamard spaces for solving convex optimization, and later for variational inequalities.
Published: Jun 28, 2017 by Journal of Fixed Point Theory and Applications
Authors: K. Khammahawong, P. Kumam , D. M. Lee and Y. J. Cho
In this paper, we show the existence of best proximity points for multi-valued Suzuki α–F -proximal contraction mappings in complete metric spaces and give some examples to illustrate the main results in this paper. Our results improve and extend the corresponding results in the literature.
Published: Jan 23, 2017 by Numerical Functional Analysis and Optimization
Authors: Kanokwan Sitthithakerngkiet, Jitsupa Deepho & Poom Kumam
In this paper, we slightly modify the hybrid steepest method to obtain a strong convergence. We regard the CQ algorithm as a fixed point algorithm for averaged mapping, and study the SFP by the hybrid steepest method. In the last section, we also give some numerical examples for study behavior convergence analysis of this algorithm.
By: Poom Kumam
In our research group at KMUTT, we have a great diversity of research directions. Members in our groups work in small clusters, but with strong connections in between. Each of the clusters concerns with a particular kind of problems. Some clusters provide the others with new useful tools and methods, while some clusters make use of others to accomplish the desired outcomes. With this effective character, we have over fifty papers published each year in highly qualified journals, and they are on different purposes, aspects, approaches, and methods.